Contents Part I New Trends in Nanotechnology Novel Molecular Diodes Developed by Chemical Conjugation of Carbon Nanotubes with Peptide Nucleic Acid 3 Krishna V. Singh, Miroslav Penchev, Xiaoyc Jing, Alfredo A. Martinez-Moralcs, Cengiz S. Özkan, and Mihri Özkan Hybrid Single VValled Carbon Nanotube FETs for High Fidelity DNA Detection 17 Xu Yang, Mihri Özkan, Gurcr Budak, Ziya B. Güvenç, and Cengiz S. Özkan Tovvards Integrated Nanoelectronic and Photonic Devices 25 Alexander Quandt, Maurizio Ferrari, and Giancarlo C. Righini Nevv Noninvasive Methods for ‘Reading' of Random Sequences and Their Applications in Nanotechnology 43 Raoul R. Nigmatullin Quantum Confinement in Nanometric Structures 57 Magdalena L. Ciurea and Vladimir Ianeu Part II Techniques and Applications Air-Fuel Ratio Control of an Internal Combustion Engine Usİng CRONE Control Extended to LPV Systems 71 Mathieu Moze, Jocelyn Sabatier, and Alain Oustaloup Non Integer Order Operators Implemcntation via Svvitched Capacitors Technology 87 Riccardo Caponetto, Giovanni Dongola, Liriği Fortuna, and Antonio Gallo vııı Contents Analysis of the Fractional Dynamics of an Ultracapacitor and Its Application to a Buck-Boost Converter 97 A. Parreno, P. Roncero-Sanchez, X. del Toro Garcı'a, V. Feliu. and F. Castillo Approximation of a Fractance by a Netvvork of Four Identical RC Celis Arranged in Gamma and a Purely Capacitive Celi 107 Xavier Moreau, Firas Khemane, Rachid Maki, and Pascal Serrier Part III Mathematical Tools On Deterministic Fractional Models 123 Margarita Rivero, Juan J. Trujillo, and M. Pilar Velasco A New Approach for Stability Analysis of Linear Discrete-Time Fractional-Order Systems 151 Said Guermah, Said Djennoune, and Maamar Bettayeb Stability of Fractional-Delay Systems: A Practical Approach 163 Farshad Merrikh-Bayat Comparing Numerical Methods for Solving Nonlinear Fractional Order Differential Equations 171 Farhad Farokhi. Mohammad Haeri, and Mohammad Saleh Tavazoei Fractional-Order Backvvard-Difference Definition Formula Analysis 181 Piotr Ostalczyk Fractional Differential Equations on Algebroids and Fractional Algebroids 193 Oana Chiş, Ioan Despi, and Dumitru Opriş Generalized Hankel Transform and Fractional Integrals on the Spaces of Generalized Functions 203 Kuldeep Singh Gehlot and Dinesh N. Vyas Some Bounds on Maximum Number of Frequencies Existing in Oscillations Produced by Linear Fractional Order Systems 213 Sadegh Bolouki. Mohammad Haeri, Mohammad Saleh Tavazoei, and Milad Siami Fractional Derivatives with Fuzzy Exponent 221 NVitold Kosihski Game Problems for Fractional-Order Systems 233 Arkadii Chikrii and Ivan Matychyn Contcnts IX Synchronization Analysis of Two Networks 243 Changpin Li and Weigang Sun Part IV Fractional Modelling Modeling Ultracapacitors as Fractional-Order Systems 257 Yang Wang, Tom T. Hartley, Cari F. Lorenzo, Jay L. Adams, Joan E. Carletta, and Robert J. Veillettc IPMC Actuators Non Integer Order Models 263 Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna, Antonio Gallo, and Salvatore Graziani On the Implementation of a Limited Frequency Band Integrator and Application to Energetic Material Ignition Prediction 273 Jocelyn Sabatier, Mathicu Merveillaut, Alain Oustaloup, Cyril Gruau, and Herve Trumel Fractional Order Model of Beam Heating Process and Its Experimental Verification 287 Andrzej Dzieliriski and Dominik Sierociuk Analytical Design Method for Fractional Order Controller Using Fractional Reference Model 295 Badreddinc Boudjehcm, Djalil Boudjehem, and Hicham Tebbikh On Observability of Nonlinear Discrete-Time Fractional-Order Control Systems 305 Dorota Mozyrska and Zbignievv Bartosievvicz Chaotic Fractional Order Delayed Cellular Neural Network 313 Vedat Çelik and Yakup Demir Fractional VVavelet Transform for the Quantitative Spectral Analysis of Two-Component System 321 Murat Kanbur, ibrahim Narin, Esra Özdemir, Erdal Dinç. and Dumitru Baleanu Fractional VVavelet Transform and Chemometri Calibrations for the Simultaneous Determination of Amlodipine and Valsartan in Their Complex Mixture 333 Mustafa Çelebier, Sacide Altınöz, and Erdal Dinç •••• Analytical Impulse Response of Third Generation CRONE Control 343 Rim Jallouli-Khlif, Pierre Mclchior, F. Levron, Nabil Derbel, and Alain Oustaloup Stability Analysis of Fractional Order Universal Adaptive Stabilization 357 Yan Li and YangQuan Chen Position and Velocity Control of a Servo by Using GPC of Arbitrary Real Order 369 Migucl Romero Hortelano, Ines Tejado Balscra, Blas Manuel Vinagre Jara, and Angel Perez de Madrid y Pablo Decentralızed CRONE Control of mxn Multivariable System with Timc-Delay 377 Dominique Nelson-Grucl. Patrick Lanusse, and Alain Oustaloup Fractional Order Adaptive Control for Cogging Effect Compensation 393 Ying Luo, YangQuan Chcn, and Hyo-Sung Alın Generalized Predictive Control of Arbitrary Real Order 411 Miguel Romero Hortelano, Ângel Perez de Madrid y Pablo, Carolina Manoso Hierro, and Roberto Hernândez Berlinchcs Frequency Response Based CACSD for Fractional Order Systems 419 Robin De Keyser, Clara lonescu, and Corneliu Lazar Resonance and Stability Conditions for Fractional Transfer Functions of the Second Kind 429 Rachid Malti, Xavier Moreau, and Firas Khemane Synchronization of Fractional-Order Chaotic System via Adaptive PID Controller 445 Mohammad Mahmoudian, Reza Ghaderi, Abolfazl Ranjbar, Jalil Sadati, Seyed Hassan Hosseinnia, and Shaher Momani On Fractional Control Strategy for Four-Wheel-Steering Vehicle 453 Ning Chen, Nan Chen, and Ye Chen Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems 463 Mehmet Önder Efe Contcnts xi A Fractional Order Adaptation Lavv for Integer Order Sliding Mode Control of a 2DOF Robot 471 Mehmet Önder Efe Synchronization of Chaotie Nonlinear Gyros Using Fractional Order Controller 479 Hadi Delavari. Reza Ghaderi, Abolfazl Ranjbar, and Shaher Momani Nyquist Envelope of Fractional Order Transfer Functions with Parametric Uncertainty 487 Nusret Tan, M. Mine Ozyetkin, and Celaleddin Yeroglu Synchronization of Gyro Systems via Fractional-Order Adaptive Controller 495 Seyed Hassan Hosseinnia, Reza Ghaderi, Abolfazl Ranjbar, Jalil Sadati, and Shaher Momani Controllability and Minimum Energy Control Problem of Fractional Discrete-Time Systems 503 Jerzy Klamka Control of Chaos via Fractional-Order State Feedback Controller 511 Seyed Hassan Hosseinnia, Reza Ghaderi, Abolfazl Ranjbar, Farzad Abdous, and Shaher Momani Index 521